6: Linear Transformations
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- 6.10: Supplementary Notes - More on Linear Transformations
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- 6.10.1: Examples and Elementary Properties
- 6.10.1E: Examples and Elementary Properties Exercises
- 6.10.2: Kernel and Image of a Linear Transformation
- 6.10.2E: Kernel and Image of a Linear Transformation Exercises
- 6.10.3: Isomorphisms and Composition
- 6.10.3E: Isomorphisms and Composition Exercises
- 6.10.4: A Theorem about Differential Equations
Thumbnail: A linear combination of one basis set of vectors (purple) obtains new vectors (red). If they are linearly independent, these form a new basis set. The linear combinations relating the first set to the other extend to a linear transformation, called the change of basis. (CC0; Maschen via Wikipedia)